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Sobolev, Hardy and CLR inequalities associated with Pauli operators in ℝ3

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Publication:2716226
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DOI10.1088/0305-4470/34/5/101zbMath1002.81051OpenAlexW2023516651MaRDI QIDQ2716226

Roger T. Lewis, Alexander A. Balinsky, W. Desmond Evans

Publication date: 6 June 2001

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/34/5/101


zbMATH Keywords

magnetic fieldsCwikel-Lieb-Rosenbljum (CLR) inequalities


Mathematics Subject Classification ID

General theory of partial differential operators (47F05) Electromagnetic interaction; quantum electrodynamics (81V10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)


Related Items (4)

Which magnetic fields support a zero mode? ⋮ Heat kernel estimates and spectral properties of a pseudorelativistic operator with magnetic field ⋮ BLOCK-DIAGONALIZATION OF OPERATORS WITH GAPS, WITH APPLICATIONS TO DIRAC OPERATORS ⋮ A criterion for the existence of zero modes for the Pauli operator with fastly decaying fields




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